Least Common Multiple of 3726 and 3731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3726 and 3731 the smallest integer that is 13901706 that is divisible by both numbers.

Least Common Multiple (LCM) of 3726 and 3731 is 13901706.

LCM(3726,3731) = 13901706

LCM of 3726 and 3731

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3726 and 3731

LCM of 3726 and 3731 is 13901706

Least common multiple can be found by multiplying the highest exponent prime factors of 3726 and 3731. First we will calculate the prime factors of 3726 and 3731.

Prime Factorization of 3726


2 3726
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 3726 are 2, 3,23. Prime factorization of 3726 in exponential form is:

3726 = 21×34×231

Prime Factorization of 3731


7 3731
13 533
41 41
1

Prime factors of 3731 are 7, 13,41. Prime factorization of 3731 in exponential form is:

3731 = 71×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3726 and 3731.

LCM(3726,3731) = 21×34×71×131×231×411
LCM(3726,3731) = 13901706

Factors of 3726

List of positive integer factors of 3726 that divides 3726 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1, 7, 13, 41, 91, 287, 533, 3731

Least Common Multiple of 3726 and 3731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3726 and 3731, than apply into the LCM equation.

GCF(3726,3731) = 1
LCM(3726,3731) = ( 3726 × 3731) / 1
LCM(3726,3731) = 13901706 / 1
LCM(3726,3731) = 13901706

Properties of LCM 3726 and 3731

(i) The LCM of 3731 and 3726 is associative

LCM of 3726 and 3731 = LCM of 3731 and 3726

Related Least Common Multiples of 3726

Related Least Common Multiples of 3731

Frequently Asked Questions on LCM of 3726 and 3731

1. What is the LCM of 3726 and 3731?

Answer: LCM of 3726 and 3731 is 13901706.

2. What are the Factors of 3726?

Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.

3. What are the Factors of 3731?

Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.

4. How to Find the LCM of 3726 and 3731?

Answer:

Least Common Multiple of 3726 and 3731 = 13901706

Step 1: Find the prime factorization of 3726

3726 = 2 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 3731

3731 = 7 x 13 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13901706 = 2 x 3 x 3 x 3 x 3 x 7 x 13 x 23 x 41

Step 4: Therefore, the least common multiple of 3726 and 3731 is 13901706.